Wednesday 4/22 - Mosher

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

How do you convert the slope from a fraction to a decimal?

Back

Divide the numerator by the denominator. For example, 3/4 = 0.75.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of a line that is horizontal?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

If a line has a slope of -1/2, what does this indicate about the line's direction?

Back

A slope of -1/2 indicates that the line descends from left to right.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.